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Finding the Fourth Proportional to 407,590.34, 562,492.24 and 226,302.30

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Solution

The fourth proportional to 407,590.34, 562,492.24 and 226,302.30 is: 312,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,590.34 : 562,492.24 = 226,302.30 : x
  2. Step 2: Convert to fraction form
    407,590.34/562,492.24 = 226,302.30/x
  3. Step 3: Cross multiply
    407,590.34x = 562,492.24 × 226,302.30
  4. Step 4: Simplify right side
    407,590.34x = 127,293,287,644.15
  5. Step 5: Solve for x
    x = 127,293,287,644.15/407,590.34
  6. Step 6: Final answer
    x = 312,306.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.